8+0.40(3x-1)=-2+0.50(20-2x)

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Solution for 8+0.40(3x-1)=-2+0.50(20-2x) equation: 


Simplifying
8 + 0.40(3x + -1) = -2 + 0.50(20 + -2x)

Reorder the terms:
8 + 0.40(-1 + 3x) = -2 + 0.50(20 + -2x)
8 + (-1 * 0.40 + 3x * 0.40) = -2 + 0.50(20 + -2x)
8 + (-0.4 + 1.2x) = -2 + 0.50(20 + -2x)

Combine like terms: 8 + -0.4 = 7.6
7.6 + 1.2x = -2 + 0.50(20 + -2x)
7.6 + 1.2x = -2 + (20 * 0.50 + -2x * 0.50)
7.6 + 1.2x = -2 + (10 + -1x)

Combine like terms: -2 + 10 = 8
7.6 + 1.2x = 8 + -1x

Solving
7.6 + 1.2x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
7.6 + 1.2x + x = 8 + -1x + x

Combine like terms: 1.2x + x = 2.2x
7.6 + 2.2x = 8 + -1x + x

Combine like terms: -1x + x = 0
7.6 + 2.2x = 8 + 0
7.6 + 2.2x = 8

Add '-7.6' to each side of the equation.
7.6 + -7.6 + 2.2x = 8 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + 2.2x = 8 + -7.6
2.2x = 8 + -7.6

Combine like terms: 8 + -7.6 = 0.4
2.2x = 0.4

Divide each side by '2.2'.
x = 0.1818181818

Simplifying
x = 0.1818181818

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